Line g has a slope of 6/5 . Line h has a slope of 2/3 .Are line g and line h parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Calculate line slopes: Line g slope: 6/5. Line h slope: 2/3. If they're parallel, slopes should be equal. If they're perpendicular, slopes should be negative reciprocals.Check for equal slopes: Check if slopes are equal: 6/5 = 2/3? Nope, they're not equal.Check for negative reciprocals: Check if slopes are negative reciprocals: Negative reciprocal of 6/5 is -5/6. Is -5/6 = 2/3? Nope, they're not negative reciprocals either.

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Line $g$ has a slope of $\frac{6}{5}$ . Line $h$ has a slope of $\frac{2}{3}$ . Are line $g$ and line $h$ parallel or perpendicular? $\newline$ Choices: $\newline$ (A) parallel $\newline$ (B) perpendicular $\newline$ (C) neither

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

g

has a slope of

\frac{6}{5}

. Line

h

has a slope of

\frac{2}{3}

. Are line

g

and line

h

parallel or perpendicular?

\newline

Choices:

\newline

(A) parallel

\newline

(B) perpendicular

\newline

Calculate line slopes: Line $g$ slope: $\frac{6}{5}$ . Line $h$ slope: $\frac{2}{3}$ . If they're parallel, slopes should be equal. If they're perpendicular, slopes should be negative reciprocals.
Check for equal slopes: Check if slopes are equal: $\frac{6}{5} = \frac{2}{3}$ ? Nope, they're not equal.
Check for negative reciprocals: Check if slopes are negative reciprocals: Negative reciprocal of $\frac{6}{5}$ is $-\frac{5}{6}$ . Is $-\frac{5}{6} = \frac{2}{3}$ ? Nope, they're not negative reciprocals either.